For more information about this meeting, contact Ping Xu, Mathieu Stienon, Nigel Higson.
|Title:||Floer homology and the spectral metric|
|Speaker:||Zhigang Han, Millersville University|
|After a brief review of the Morse homology, I will go through the definition of the Floer homology of a Hamiltonian diffeomorphism, which is an infinite dimensional analog of Morse homology. Using the Floer homology, I will define a biinvariant metric, known as the Schwarz-Oh spectral metric on the group of Hamiltonian diffeomorphisms. Finally I will explain why the spectral metric does not extend to a biinvariant metric on the group of all symplectomorphisms for certain symplectic manifolds.|
Room Reservation Information
|Date:||04 / 27 / 2010|
|Time:||02:30pm - 03:30pm|